3 papers
math.DG2026
Dolbeault cohomology of Endo-Pajitnov manifolds
Liviu Ornea, Miron Stanciu
Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces to higher dimensions. We compute their Dolbeault cohomology and show that they s…
math.DG2025
Special non-Kähler metrics -- old and new
Liviu Ornea, Miron Stanciu
We give an account of old and new results concerning many types of non-Kähler metrics, with focus on the problem of their coexistence on compact complex manifolds, and their behav…
math.DG2024
Vaisman's theorem and local reducibility
Ovidiu Preda, Miron Stanciu
As proven in a celebrated theorem due to Vaisman, pure locally conformally Kähler metrics do not exist on compact Kähler manifolds. In a previous paper, we extended this result t…